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Finding the Fourth Proportional to 174.15, 259.94 and 153.64

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Solution

The fourth proportional to 174.15, 259.94 and 153.64 is: 229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.15 : 259.94 = 153.64 : x
  2. Step 2: Convert to fraction form
    174.15/259.94 = 153.64/x
  3. Step 3: Cross multiply
    174.15x = 259.94 × 153.64
  4. Step 4: Simplify right side
    174.15x = 39,937.18
  5. Step 5: Solve for x
    x = 39,937.18/174.15
  6. Step 6: Final answer
    x = 229.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.